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Design of large‐deformation steady elastoplastic manufacturing processes. Part II: sensitivity analysis and optimization
Author(s) -
Balagangadhar D.,
Tortorelli D. A.
Publication year - 2000
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/1097-0207(20001110)49:7<933::aid-nme984>3.0.co;2-3
Subject(s) - camber (aerodynamics) , sensitivity (control systems) , distortion (music) , process (computing) , structural engineering , deformation (meteorology) , forming processes , computer science , mathematical optimization , engineering , mechanical engineering , mathematics , materials science , composite material , amplifier , computer network , electronic engineering , operating system , bandwidth (computing)
An optimization algorithm for quasi‐steady forming processes is presented that is based upon the computationally efficient reference frame formulation. The direct differentiation method is used to efficiently evaluate the response sensitivities. Select forming response measures and their sensitivities are combined with non‐linear programming methods to optimize the process. To illustrate these methods, drawing and rolling processes are optimized. The die shape in a drawing process is designed to minimize the distortion and yield stress variation in the workpiece. The pass heights in a multi‐pass rolling process are designed to so that the same degree of camber, and hence the same roll, can be used in each of the passes. Copyright © 2000 John Wiley & Sons, Ltd.